Brielle’s piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Brielle has 66 nickels, write and solve a linear equation to find the number of dimes she has. Write in both standard form and the answer with labels.

Give all possible names for each angle shown.calculation tip: in angle abc, b is the vertex.

Thelime contains the point(-3,0) and parallel x-3y=3( show all work)

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .